I'm not talking about 32 bits of precision; I'm talking about 32 bits of data. If you only have 16 bits then the number of unique states you can represent is 6

I'm not talking about 32 bits of precision; I'm talking about 32 bits of data. If you only have 16 bits then the number of unique states you can represent is 65536, and it does not matter how you divide that up into dimensions.